The Authority Equation - Volume I

Theoretical Architecture Before the test, the architecture. An equation that makes lethal autonomy governable. Volume I builds the theoretical architecture. The Human-Machine Authority Architecture (HMAA) parameterized the migration of lethal authority from human to machine through three core variables temporal compression (¿), system confidence (C), and escalation coupling (E) and a governance ceiling (¿_cap) anchored in international humanitarian law. The volume formalizes the master equation ¿ = ß · (C / ¿) · e¿¿E develops the Authority Migration Function, derives the boundary conditions and exponential damping properties, and introduces the Five-Tier Human-Machine Authority Spectrum that connects the variable framework to operational governance. Volume II tests this architecture against Operation Epic Fury, the most complex multi-domain conflict of the algorithmic age. Volume III synthesizes what the test reveals.